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Finding the Fourth Proportional to 8,294.31, 11,426.69 and 5,772.08

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Solution

The fourth proportional to 8,294.31, 11,426.69 and 5,772.08 is: 7,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.31 : 11,426.69 = 5,772.08 : x
  2. Step 2: Convert to fraction form
    8,294.31/11,426.69 = 5,772.08/x
  3. Step 3: Cross multiply
    8,294.31x = 11,426.69 × 5,772.08
  4. Step 4: Simplify right side
    8,294.31x = 65,955,682.82
  5. Step 5: Solve for x
    x = 65,955,682.82/8,294.31
  6. Step 6: Final answer
    x = 7,951.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.